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A curved surface will always look "flat" if you get close enough and "round" if you get far enough away.

A Curved Surface Will Always Look Flat From Up Close

If you look at a curved surface from close up it will look “flat” if you change your perspective and “zoom out” it will look “round”.[1]

How we see perceiveEuclidean space (dimensions of space) or Minkowski space (dimensions of space and time) depends on our perspective (AKA frame of reference). Up close, tiny patches on the surface of a sphere look like a “Euclidean plane” (aka flat).

This logic can help us do heady stuff like imagining the 4th spatial dimension or, relatively simple things, like that determining that the earth isn’t flat (it really isn’t flat).

The fun part is, as you zoom out and see the sphere, you also see less detail. So to know the true nature of an object you need to zoom in, zoom out, and look at how it relates to other systems. When you do this with the earth, you realize that it is a bumpy sphere-y sort of space-ball of mass-energy spinning in spacetime… of course that sphere has “roughness” and this only makes things more interesting.

Why is the Earth “Round”?

Earth is “round” (actually an oblate spheroid with a fat equator and rough topography) because the earth’s mass curbs spacetime around the earth creating what we call gravity (spacetime curvature), and together with the spin of the earth (and the wobble), creates a roughly spherical surface (and creamy molten center).

If we zoom out far enough, we see almost all the stars and planets in the universe are roughly spherical (not galaxies or solar systems). If we zoom on any of those spheroids, at some point, we will start to see the curves vanish, and we will begin to perceive flat space, if we keep zooming then we go into the world of very small and see even more wacky stuff (including lots of “empty space“).

All curved objects look flat up close. Perspective is strange, but a little logic and math can help us figure out what is actually happening. The world isn’t flat, it just looks that way when you get close to it.